The aim of the present paper is to completely characterize boundedness and compactness a sum operator defined by some more complex products composition, multiplication, mth iterated radial derivative operators from Bloch-type spaces weighted-type on unit ball. In applications, all ball are also characterized.

Let $ \mu be a positive Borel measure on the interval [0, 1) $. The Hankel matrix {\mathcal H}_\mu = (\mu_{n+k})_{n, k\geq 0} with entries \mu_{n, k} \mu_{n+k} induces operator H}_\mu(f)(z) \sum\limits_{n 0}^\infty\left(\sum\limits_{k 0}^\infty\mu_{n,k}a_k\right)z^n space of all analytic functions f(z) \sum^\infty_{n 0}a_nz^n in unit disk {\mathbb{D}} In this paper, we characterize boundedness ...

We present some characterizations for the compactness of difference two composition operators acting between analytic Besov spaces and weighted little Bloch type space over unit disk.

The characterization by weighted Lipschitz continuity is given for the Bloch space on the unit ball of Rn. Similar results are obtained for little Bloch and Besov spaces.

We characterize boundedness and compactness of weighted composition operators from the space of Cauchy integral transforms to logarithmic weighted-type spaces. We also manage to compute norm of weighted composition operators acting between these spaces.